The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A085141

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A085141

Greatest nonnegative integer k such that k(3k+1)/2 <= n.
(history; published version)

#10 by Bruno Berselli at Sun Sep 15 06:50:06 EDT 2024

STATUS

reviewed

approved

#9 by Joerg Arndt at Sun Sep 15 04:43:59 EDT 2024

STATUS

proposed

reviewed

#8 by Michel Marcus at Sun Sep 15 04:42:19 EDT 2024

STATUS

editing

proposed

#7 by Michel Marcus at Sun Sep 15 04:42:14 EDT 2024

FORMULA

a(n) = floor((sqrt(24n+1)-1)/6).

a(A005449(n)) = n.

CROSSREFS

n=a(A005449(n)).

Cf. A005449.

STATUS

proposed

editing

#6 by Kevin Ryde at Sun Sep 15 04:21:22 EDT 2024

STATUS

editing

proposed

#5 by Kevin Ryde at Sun Sep 15 04:20:24 EDT 2024

KEYWORD

nonn,easy

STATUS

approved

editing

#4 by Charles R Greathouse IV at Wed Apr 30 01:35:39 EDT 2014

AUTHOR

_Michael Somos, _, Jun 19 2003

Discussion

Wed Apr 30

01:35

OEIS Server: https://oeis.org/edit/global/2179

#3 by N. J. A. Sloane at Fri Sep 29 03:00:00 EDT 2006

CROSSREFS

Cf. n=a(A005449(n)).

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

NAME

Greatest non-negative nonnegative integer k such that k(3k+1)/2 <= n.

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003

NAME

Greatest non-negative integer k such that k(3k+1)/2 <= n.

DATA

0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8

OFFSET

0,8

FORMULA

a(n)=floor((sqrt(24n+1)-1)/6).

PROG

(PARI) a(n)=if(n<0, 0, (sqrtint(24*n+1)-1)\6)

CROSSREFS

Cf. n=a(A005449(n)).

KEYWORD

nonn

AUTHOR

Michael Somos, Jun 19 2003

STATUS

approved